How do you calculate the average angular acceleration of a spinning wheel?

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To calculate the average angular acceleration of a spinning wheel, first determine the change in angular velocity, converting the speeds from rpm to rad/s. The initial speed is 43 rpm and the final speed is 62 rpm, resulting in a change in angular velocity of approximately 1.3 rad/s. This change occurs over a time interval of 15 seconds. The average angular acceleration can be calculated using the formula α = Δω / t, yielding a result of approximately 0.13 rad/s². Additionally, consider the angular momentum and its vector nature for a complete analysis.
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Homework Statement



A wheel is spinning at 43rpm with its spin axis vertical. After 15s , it's spinning at 62rpm with its axis horizontal. Find (a) the magnitude of its average angular acceleration.

ans:______rad/s/s

Homework Equations



\alpha = \varpi /t

attempt :

change in omega is 2pi/60 (62-43)
t = 15
so divide them to get rad/s/s
=
1.3 * 10^-1
 
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First of all find the angular momentum L.
Then find the rate of change of angular momentum.
Note that L is a vector.So when you find change in L, you have to use vector subtraction. Finally equate it to I*alpha.
 

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